Question

Use the drop-down menus to complete the statements.

42 is _______32 + 32.
Therefore, △JKL is _________
52 is ________32 + 42.
Applying the same method, △ABC is ________

Answer 1

less then

acute

equal to

right

Explanation:

Answer 2

See Below.

Explanation:

Remember that:

• If c² > a² + b², then we have an obtuse triangle.
• If c² < a² + b², then we have an acute triangle.
• And if c² = a² + b², then we have a right triangle.

Where c is the longest side, and a and b are the two remaining sides.

`4^2\text{ is }\textbf{ less than (or $<$) } 3^2+3^2`

`\text{Therefore, }\Delta JKL \text{ is }\textbf{an acute triangle.}`

(16 is less than 9 + 9 or 18.)

`5^2\text{ is } \textbf{equal to (or $=$) } 3^2+4^2`

`\text{Applying the same method, $\Delta ABC$ is }\textbf{ a right triangle.}`

(25 is equal to 9 + 16 = 25.)